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Finding the Fourth Proportional to 3,364.35, 5,046.21 and 899.08

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Solution

The fourth proportional to 3,364.35, 5,046.21 and 899.08 is: 1,348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.35 : 5,046.21 = 899.08 : x
  2. Step 2: Convert to fraction form
    3,364.35/5,046.21 = 899.08/x
  3. Step 3: Cross multiply
    3,364.35x = 5,046.21 × 899.08
  4. Step 4: Simplify right side
    3,364.35x = 4,536,933.87
  5. Step 5: Solve for x
    x = 4,536,933.87/3,364.35
  6. Step 6: Final answer
    x = 1,348.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.